Dynamic objects in planetary systems

Abstract

For the search of periodic orbits in planetary systems, a restricted and spatially elliptical model of three bodies, where one of the primary ones possesses a mass similar to that of the Sun and the second one a major mass has that Jupiter, is proposed. By means of numerical methods we find periodic solutions for the third body of void mass. Two independent methods were outline. On one hand, and taking as a base the results obtained in a previous work for the case of three bodies restricted circular and planar, initial conditions were generated for the third particle in the problem of three bodies restricted elliptically, but in a fixed system. The second approach tries to consider in addition the spatial position of the third body. For it the initial conditions are generated following the procedure proposed in Palacián's work and others in 2006.

DOI: http://dx.doi.org/10.5377/ce.v1i1.608

Ciencias Espaciales 1(1) 2009